101edo

101-EDO divides the octave into 101 equal parts of 11.881 cents each. It can be used to tune the grackle temperament. It is the 26th prime EDO. The 101cd val provides an excellent tuning for witchcraft temperament, falling between the 13 and 15 limit least squares tuning.

5-limit commas

32805/32768 ( [-15 8 1⟩ ), 51018336/48828125 ( [5 13 -11⟩ )

7-limit commas

126/125, 32805/32768, 2430/2401

Some important MOS scales

13 12 13 13 12 13 12 13: 5L3s MOS (Oneirotonic, an 8-tone circulating temperament)

Steps	Cents
13	154.455
25	297.030
38	451.485
51	605.9405
63	748.515
75	891.089
88	1045.5445

9 8 9 8 8 9 8 9 8 9 8 8: 5L7s MOS (Diatonic Pythagorean, a 12-tone circulating temperament)

Steps	Cents
9	106.059
17	201.980
26	308.911
34	403.960
42	499.010
51	605.940
59	700.990
68	807.921
76	902.970
85	1009.901
93	1104.950

10 3 10 3 10 3 10 3 10 3 10 3 10 3 10: 8L7s MOS (Opossum)

Steps	Cents
10	118.812
13	154.455
23	273.267
26	308.911
36	427.723
39	463.366
49	582.178
52	617.822
62	736.337
65	772.277
75	891.089
78	926.733
88	1045.5445
91	1081.188

8 5 8 5 8 5 5 8 5 8 5 8 5 8 5 5: 7L9s MOS (Golden Mavila chromatic 1/13-tone)

Steps	Cents
8	95.0495
13	154.455
21	249.505
26	308.911
34	403.960
39	463.366
44	522.772
52	617.822
57	677.228
65	772.277
70	831.683
78	926.733
83	986.139
91	1081.188
96	1045.545

7 3 7 3 7 7 3 7 3 7 3 7 7 3 7 3 7 3 7: 8L3s MOS (Improper Sensi-11)

Steps	Cents
7	83.168
10	118.812
17	201.980
20	237.624
27	320.792
34	403.960
37	439.604
44	527.772
47	558.416
54	641.584
57	677.228
64	760.396
71	843.564
74	879.218
81	962.376
84	998.020
91	1081.188
94	1116.842

7 7 7 7 1 7 7 7 7 7 1 7 7 7 7 7 1: 14L3s MOS (Anti-Ketradektriatoh)

Steps	Cents
7	83.168
14	166.337
21	249.505
22	261.386
29	344.554
36	427.723
43	510.891
50	594.059
57	677.278
58	689.119
65	772.287
72	855.446
79	938.614
86	1021.782
93	1104.950
100	1188.119

Links

The Ellis duodene in 101-equal